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Approximaitly Quasi-primary Submodules
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In this paper, we introduce and study the notation of approximaitly quasi-primary submodules of a unitary left -module over a commutative ring with identity. This concept is a generalization of prime and primary submodules, where a proper submodule of an -module is called an approximaitly quasi-primary (for short App-qp) submodule of , if , for , , implies that either or , for some . Many basic properties, examples and characterizations of this concept are introduced.
College of Education for Pure Sciences Ibn Al-Haitham
Title: Approximaitly Quasi-primary Submodules
Description:
In this paper, we introduce and study the notation of approximaitly quasi-primary submodules of a unitary left -module over a commutative ring with identity.
This concept is a generalization of prime and primary submodules, where a proper submodule of an -module is called an approximaitly quasi-primary (for short App-qp) submodule of , if , for , , implies that either or , for some .
Many basic properties, examples and characterizations of this concept are introduced.
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